問題としてはこのURLのやつでexercise2.2.9の問題です。 2.2.9. Define T : ℓ^2(Zn ) → ℓ^2(Zn ) by (T(z))(n) =z(n + 1) − z(n). Find all eigenvalues of T.... 続きを読む

16:22マ l 全 の Exerc: 164/520 matrices, convolution operators, and Fourier r operators. 2.2.9. Define T:l'(Zn) - → e°(ZN) by ニ Find all eigenvalues of T. 2.2.10. Let T(m):e'(Z4) → '(Z) be the Fourier multipliei (mz)' where m = (1,0, i, -2) defined by T (m)(2) = i. Find be l(Z4) such that T(m) is the convolutior Tb (defined by Th(Z) = b*z). ii. Find the matrix that represents T(m) with resp standard basis. 2.2.11. i. Suppose Ti, T2:l(ZN) → e(ZN) are tra invariant linear transformations. Prove that th sition T, o T, is translation invariant. ii. Suppose A and B are circulant NxN matric directly (i.e., just using the definition of a matrix, not using Theorem 2.19) that AB is Show that this result and Theorem 2.19 imp Hint: Write out the (m + 1,n+1) entry of the definition of matrix multiplication; compare hint to Exercise 2.2.12 (i). iii. Suppose b,, bz e l'(Zn). Prove that the cor Tb, o Tb, of the convolution operators Tb, and convolution operator T, with b = 2 bz * b.. E Exercise 2.2.6. iv. Suppose m,, mz € l"(Z). Prove that the cor T(m2) ° T(m) and T(m) is the Fourier multiplier operator T) m(n) = m2(n)m」(n) for all n. v. Suppose Ti, T2:l"(Zw) → e'(Zn) are linear tra tions. Prove that if Ti is represented bya matri respect to the Fourier basis F (i.e., [T; (z)]F =A Tz is represented by a matrix Az with respect t the composition T20T, is represented by the ma with respect to F. Deduce part i again. Remark:ByTheerem 2.19, we have just proved of the Fourier multiplier operat Aresearchgate.net - 非公開

誰かこの問題解いて欲しいです

2 次の対話文を読み, 設問(a)~(e)にもっとも適切なものを1~4の中から1つ 選びなさい。 Two friends standing in line at a store checkout. Marissa: I know I have it in here somewhere Karen: What are you looking for? Marissa: My point card. Sheesh, I have so many of them now. I can never find the one I'm looking for. Karen: I know! It's getting ridiculous, isn't it? Every store has its own, and they're all different. Hold on a second. Let me go look by the register. They usually have a sample Yeah, the one for this store is orange. Marissa: Orange? Oh, here it is. Thanks. I really wish there were a better system. Pretty soon I'll need to start carrying a second wallet. Crazy! Karen: You know what would be great? If we had just one card that we could use for every store. You know, with an IC chip in it. I think those chips can hold a lot of data. It could hold point information for every store you go to. Marissa: That's an interesting idea but wouldn't it be a little risky? What if you lost it? You'd lose the points from all your stores. And Karen: Actually, I think most point data is now stored online. anyway, if you keep all your cards in the same wallet, what's the difference? What happens if you lose your wallet now? Marissa: Yeah, I see your point, I guess. But after all, I don't mind that each store has its own point card, because I like looking through the different designs. It's almost like collecting trading cards. Karen: Then you'll definitely need that second wallet! 5 英LAEEJPKS-006

丸ついてるとこの並び替えをお願いします

(7) Florence Nightingale (1 became 2 the 3 first person 4 attempt 5 to) a written definition 6f nursing. 2 3 45 (8)/Virginia Henderson's books are ( 1 written about 2 most 3 important 4 documents 5 the) nurses and nursing in the 20th century. 4 2 (9) The way(1 who 2 remember 3 we 4 defines 5our past) we are in our present. 4 (10) Since wars begin in the minds of men and women, it is ( 1 that' 2 defences 3 in 4 men and women 5 the minds of ) of peace must be constructed. 2 2 5 4

教えてほしいです！！お願いします！！

問題は【1】~【4】まである。答えは各問題の指示に従って別紙の解答用紙に書きなさい。 【1】次の英文を読んで設問に答えなさい。 Headaches are a big problem. Each year, millions of people suffer from severe headaches that affect their enjoyment of life, (1) not to mention their productivity at work. estimate, headaches cost individuals and businesses more than (2) $50 billion each year! (3) This is one of the reasons research into headaches has become a worldwide effort. Although he did not know much about how headaches work, Hippocrates was the first doctor to find a way to treat them. By 400 BC, Hippocrates had discovered that the *bark from willow trees was useful in treating pain. He made a white powder from the tree's bark and gave it to his patients. Hippocrates did not know it, but he was actually prescribing a natural chemical in willow bark called salicin. Whena person eats salicin, the chemical is changed inside his or her body into (4) salicylic acid. It turns out that salicylic acid is good for stopping pain, including headache pain, but it is bad for a person's stomach. In the 1800s, a chemist in Germany slightly changed easier for people to take. commonly known as aspirin. Aspirin was used throughout most of the 1900s to treat headaches, but doctors had little idea about what really caused headaches. When doctors can *diagnose the cause of a disease, they can find better ways to treat it. Therefore, as medical technology developed, doctors began to use it to learn more about the human brain and about headaches. In fact, according to one m to make it This new form of the chemical was called acetylsalicylic acid, now acid's Now doctors classify headaches ( A ) two general types: primary and secondary. A primary headache is a condition ( B) as only the headache itself. one caused by another physiological condition, such as an *infection or a *tumor. For primary headaches, doctors have determined three possible causes. headache is caused by stress. characteristically felt on both sides of the head as a dull, steady pain. Another kind of primary headache is the *migraine headache. Exactly what causes these headaches is not well understood, but many experts believe it could be abnormal brain activity causing changes in the brain's chemistry and blood flow. For many people, migraines are caused by certain (5) stimuli, such as poor sleep or particular foods or smells. A sufferer usually feels intense pain on one side of the head and becomes sensitive to light and noise. If the migraine is severe, the sufferer may *vomit repeatedly. The third kind of primary headache is known as the cluster headache. Cluster headaches typically occur around the same time each day for weeks or months at a time. The person ( C)from this kind of headache usually feels pain on one side of her or his head, and the pain is centered around one of the eyes. Doctors do not know much (6) at present about cluster headaches, but they seem to be more common among men and could be related to alcohol or other things that affect a person's blood flow. Using computers and more advanced medical equipment, doctors continue to learn more about what happens in the brain before and during headaches. Especially in the case of migraines, some doctors believe they have found the part of the brain that sets off the reaction for severe attacks. With these insights into brain processes, doctors hope new ways will be discovered to stop headaches before they begin. On the other hand, a secondary headache is One kind of primary Doctors usually call these tension headaches, and they are 注: bark 樹皮 diagnose ~を診断する、~を突き止める 感染症·伝染病 migraine (headache) 偏頭痛 infection tumor 腫場 vomit 食べたものを吐く (出典:READING FOR THE REAL WORLD 3rd edition, Compass Publishing より)

definitely の読み方教えてください！ 調べたら色々あって何が正しいか分かりませんでしたm(*_ _)m

画像下線部のカンマついてる理由がわかりません

次の英文の下線部を訳しなさい Reading and learning ability depend on something more definite than broad, general knowledge. To a significant degree, learning and reading depend on specific broad knowledge. The reason for this is that reading is not just a technical skill but also an act of communication. (甲南大)

できれば今日中に解答して下さると嬉しいです…🙇‍♀️ （）に入る単語を教えてください！お願いします🙇‍♀️ 1. If I()to be the sales manager. I would definitely promote this new product. ... 続きを読む

なるべく今日中で至急お願いします! 2の(イ)はなぜwhichは駄目なのですか？答えはwhatです。

and touches it. Then, G. Answer the following questions. for farmers to grow the “Helping” others is not easy. Sometimes we send the wrong message when we say, "Can I help you?” We mean done as soon as possib well, but we sometimes send the message, “You are not OK; you need to change." I (ア)(むしろ~したい:2語) From the 1970s to th think of it this way: “I see you have a flat tire on your bike. I have some tools and patches here if you want to use There is, however, a b= them. (A) I can also stay around while you fix your bike if you want company." This is (イ) (適する関係代名詞: 1語)Ilearned from my experience along the Sumida River. cluster bombs. This m weapons of war. Let My work is my "vote” on what kind of society I want to live in, Food is also a "tool."(B) Iwant to live in place to live. a society where there is a way to get these “tools" to the people who need them. I don't think of my work as ける conflict 紛争 “helping" people, but rather matching up surplus food with those who can use it. I (ゥ) (~に情熱をもやしてい る:3語)making these matches. ② (much /what / it /sQ/ makes / is / myjob /Yun). 1. 下線部(1)が指して 他の兵器より破壊力 ( ③ ) ような兵 1. Choose the word from the text to match each of the following definitions. (1) the rubber, usually air-filled cover around the edge of the wheel of a car, bicycle etc. 2. 下線部(2)を並- (2) a choice or decision that you make by making a paper 3. Why is the cluster ヒ 2. Fill in the blanks of (ア)~(ウ) with suitable phrases. 4. Fill in the blanks of 3. For underlined part (A) into Japanese. (下の日本語に合うように答えなさい。) あなたが自転車を修理している間に ( 5.(あ)~(う)の空欄に (あ)~に出くわて 4. According to underlined part (B), what kind of society does Mr.Mcjilton want to live in? Answer it in Japanese. 5.下の日本語の意味になるように下線部②を並べ替えなさい。 「これが私の仕事をとても面白いものにする。」 6.In <Summary>, fill in the blanks of (あ)~ (う) with suitable words and complete the sentences. H. [Reading engine 1. 意味が通るように (1)彼女はみんなが目 she raised her vc

Power on 2のLesson 6です！写真が本文なのですが、Part 3にはいくつの長所が書かれてますか？

Tas Lesson6 Vegetable Factories 予習プリント PAF Task-1: Translate underlined parts into Japanese C C PART 1 Takumi: Angelina, have you ever heard of vegetable factories? I learned about them for the first time on TV last night. Such factories were first built in Denmark in 1957, and similar factories were PAI also introduced in the US in the 1970s. Angelina: Vegetable factories-yes, 1 know about them, too. In Japan, they were first built in the early 1980s to produce kaiware sprouts. These factories are now attracting much attention as a new type of agriculture I hear new vegetables like frilice lettuce and ice plant are being produced there. Takumi: Wow! You really knowa lot about vegetable factories. Angelina: Would you like to know more? Takumi: Definitely! もちろみ に C フリルレタズ C PA C C C PART 2 C You may be surprised to hear that we can grow vegetables without the sun and soil. But that is what people do in vegetable factories. In these factories, electric light and fertilized water are used instead of the sun and soil. Temperature and humidity are also controlled. It seems that limited space in vegetable factories is not a big problem. Workers fully use the space by stacking shelves of vegetables. Actually, you can find small vegetable factories in the previolisly wasted space of office buildings or restaurants. At present, the main crops from vegetable factories are leaf vegetables. But in the near future, PA C C Ta more varieties of vegetables are sure to come. し]必ず…する PART 3 What are the good points of vegetable factories compared to traditional agriculture? For one thing, they can provide a stable supply of vegetables, even in bad weather conditions. For another thing, vegetables grow much faster in a controlled environment. Other good points include no use of chemicals and good taste with more vitamins. Unfortunately, vegetable factories still face one challenge. Running them requires a lot of money. Because of this cost, these vegetables are expensive to buy. Hopefully, in the near future, we will have solved this problem. うまくいけば PART 4 文に、科に Talkumi: Agriculture without the sun and soil. Hmm. That's a great idea indeed. Honestly, Ive got a bit of, ahem, “agriculture shock" from what you've just told me in a good way though. Angelina: Ha-hal Have you? Good. If we can develop vegetable factories on a large scale, we may be able to solve the problem of food shortages. Takumi: Yeah, I agree. And the way we view vegetables may change whether we like it or not. Oh, by the way, Angelina, culture and agriculture are closely related, as you can see from the words. Agri-means “farming," and culture means “to grow something." Angelina: Oh, so you're giving alecture now! 422words

写真の問題の答えを教えてください　

A Choose the correct word for each definition. disaster treat worth area equipment 1 to care for and try to make better a sick or hurt person: 2 things we use to do certain kinds of work: 3 a part of a city, town, country, etc.:. 4 a sudden event that causes bad effects like death or loss of homes: Cooletog ormoe B VrComplete each sentence with the best word. [Change the form if needed.) sight medical normal nonprofit volunteer facility 0mel 1 She has taught the poor students for many years as a 2 Eagles have excellent They can see much from the sky. 3 He was badly injured, so he needed care at the hospital. 4 People like this gym because all the here are new and clean. 5 It's to feel tired after walking for so long. C Choose the word that is opposite in meaning to each underlined word. 11 The brothers look very similar. Even their aunt can't tell who's who. O joyful 2 familiar ③ smart の different 2 We should protect the environment before it is too late. O harm reserve save @ spread